6810128 has 40 divisors (see below), whose sum is σ = 14712600. Its totient is φ = 3032064.

The previous prime is 6810119. The next prime is 6810131. The reversal of 6810128 is 8210186.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 6801664 = 92^2 + 2608^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 6810097 and 6810106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5468 + ... + 6596.

It is an arithmetic number, because the mean of its divisors is an integer number (367815).

Almost surely, 2^6810128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6810128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7356300).

6810128 is an abundant number, since it is smaller than the sum of its proper divisors (7902472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6810128 is a wasteful number, since it uses less digits than its factorization.

6810128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 6810128 is about 2609.6221948780. The cubic root of 6810128 is about 189.5476589425.

The spelling of 6810128 in words is "six million, eight hundred ten thousand, one hundred twenty-eight".